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Finding the Fourth Proportional to 697.16, 962.10 and 382.40

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Solution

The fourth proportional to 697.16, 962.10 and 382.40 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.16 : 962.10 = 382.40 : x
  2. Step 2: Convert to fraction form
    697.16/962.10 = 382.40/x
  3. Step 3: Cross multiply
    697.16x = 962.10 × 382.40
  4. Step 4: Simplify right side
    697.16x = 367,907.04
  5. Step 5: Solve for x
    x = 367,907.04/697.16
  6. Step 6: Final answer
    x = 527.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.